Question

If $f(x)=x^6+6^x$, then $f’(x)$ is equal to

• A. 12 x
• B. x + 4
• C. $6x^5+6^z\log (6)$
• D. $6x^5+x{6}^{x-1}$
• E. $x^6$

Answer 1

Answer: (C)

$f(x)=x^6+6^x$
$f^{\prime }(x)=6x^5+6^x\log (6)$
$\left[\because \frac{d}{dx}\left(x^n\right)=n{x}^{n-1}\right]$
$[\because \frac{d}{dx}\left(a^x\right)=a^x\log (a)]$